Commutators of generalized Hardy operators

DOI10.1002/MANA.200610775zbMath1173.42009OpenAlexW2080804793MaRDI QIDQ3634631

Lu, Shanzhen, Zun Wei Fu

Publication date: 25 June 2009

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610775

zbMATH Keywords

commutatorgeneralized Hardy operatorHardy's integral inequalityCMO functionhomogeneous Herz space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Inequalities for sums, series and integrals (26D15) Harmonic analysis in several variables (42B99)

Related Items (10)

A note on commutators of Hardy operators ⋮ Boundedness for commutators of fractional \(p\)-adic Hardy operators ⋮ Weighted estimates for commutators of Hausdorff operators on the Heisenberg group ⋮ Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators ⋮ A characterization of \(\lambda\)-central BMO space ⋮ Weighted central BMO spaces and their applications ⋮ Multilinear Hardy-Cesáro operator and commutator on the product of Morrey-Herz spaces ⋮ Hausdorff operators on Euclidean spaces ⋮ Function characterizations via commutators of Hardy operator ⋮ Characterization of the central Campanato space via the commutator operator of Hardy type

Cites Work

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• Some new classes of Hardy spaces
• Commutators of Hardy operators
• Maximal functions measuring smoothness
• Constructive decomposition of functions of finite central mean oscillation
• On weighted weak type inequalities for modified Hardy operators
• Hardy's inequality with weights
• \(L^p\) and BMO bounds of weighted Hardy-Littlewood averages

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